Metrics for Curve intersection, scale width based on ribbon orientation

analyze450.0ms (3.2%)

Memory

-31.1MiB live, 571.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.8%	99.2%	0%	0%	0%	0
0%	0%	0.8%	99.2%	0%	0%	0%	1
0%	0%	0.8%	99.2%	0%	0%	0%	2
0%	0%	0.8%	99.2%	0%	0%	0%	3
0%	0%	0.8%	99.2%	0%	0%	0%	4
0%	0%	0.8%	99.2%	0%	0%	0%	5
16.7%	0.1%	0.5%	99.2%	0%	0.2%	0%	6
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	7
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	8
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	9
45%	0.2%	0.3%	99.2%	0%	0.3%	0%	10
52.5%	0.3%	0.2%	99.2%	0%	0.3%	0%	11
52.5%	0.3%	0.2%	99.2%	0%	0.3%	0%	12

Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.2s (22.9%)

Memory

-39.9MiB live, 4 868.7MiB allocated

Samples

2.0s	8 256×	0	valid
554.0ms	1 994×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-mult: 520.0ms (26.5% of total)

ival-sin: 422.0ms (21.5% of total)

ival-<=: 295.0ms (15.1% of total)

const: 232.0ms (11.8% of total)

ival-div: 181.0ms (9.2% of total)

ival-sub: 124.0ms (6.3% of total)

ival-pi: 58.0ms (3% of total)

ival-and: 52.0ms (2.7% of total)

ival-add: 49.0ms (2.5% of total)

exact: 22.0ms (1.1% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

preprocess149.0ms (1.1%)

Memory

-7.9MiB live, 114.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 402×	`unsub-neg`
1 014×	`times-frac`
832×	`lower-fma.f64`
832×	`lower-fma.f32`
738×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	368
1	279	300
2	741	283
3	1977	255
4	3516	252
5	6491	252
0	17	25
0	29	25
1	48	21
2	88	20
3	156	18
4	203	18
5	238	18
6	282	18
7	367	18
8	510	18
9	609	18
10	735	18
11	1173	18
12	1886	18
13	2293	18
14	2312	18
15	2313	18
16	2313	18
0	2313	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Outputs

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

(/.f32 (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Symmetry

(abs normAngle)

explain375.0ms (2.7%)

Memory

-37.0MiB live, 250.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	23	(3.6674399452529887e-38 3.915815582899995e-8 -1.5834155167593345e-11 -1.5871744053796085e-36)	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)`
0	-	0	-	`(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))`
0	-	0	-	`(*.f32 u normAngle)`
0	-	0	-	`n1_i`
0	-	0	-	`(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)`
0	-	0	-	`n0_i`
0	-	0	-	`normAngle`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u)`
0	-	0	-	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(sin.f32 (*.f32 u normAngle))`
0	-	0	-	`u`
0	-	0	-	`(sin.f32 normAngle)`
0	-	0	-	`(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f32`	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	0	7
-	1	248

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	7
-	1	0	248

Precision?

0.0

Recall?

0.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

153.0ms	502×	0	valid
2.0ms	10×	1	valid

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 97.0ms (72% of total)

ival-sin: 28.0ms (20.8% of total)

ival-div: 4.0ms (3% of total)

ival-sub: 3.0ms (2.2% of total)

ival-add: 2.0ms (1.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Status

Accuracy

Program

▶

97.6%

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify70.0ms (0.5%)

Memory

7.5MiB live, 45.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	3616	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Rules

832×	`lower-fma.f64`
832×	`lower-fma.f32`
576×	`lower-*.f64`
564×	`lower-*.f32`
486×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	101
0	29	101
1	48	89
2	88	88
3	156	86
4	203	86
5	238	86
6	282	86
7	367	86
8	510	86
9	609	86
10	735	86
11	1173	86
12	1886	86
13	2293	86
14	2312	86
15	2313	86
16	2313	86
0	2313	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i

Outputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i

localize99.0ms (0.7%)

Memory

3.1MiB live, 79.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	95.2%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

40.0ms	251×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 18.0ms (61.7% of total)

ival-sin: 6.0ms (20.6% of total)

ival-div: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.4% of total)

ival-sub: 1.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series99.0ms (0.7%)

Memory

-13.9MiB live, 68.1MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>

Outputs
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (- 1 u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))>
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))>
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>

Calls

39 calls:

Time	Variable		Point	Expression
45.0ms	u	@	-inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
17.0ms	normAngle	@	-inf	(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms	u	@	inf	(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms	normAngle	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	normAngle	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite559.0ms (4%)

Memory

-8.5MiB live, 470.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 546×	`lower-fma.f64`
7 546×	`lower-fma.f32`
5 814×	`lower-*.f64`
5 802×	`lower-*.f32`
2 004×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	29	53
1	83	53
2	469	52
3	4845	52
0	8489	51

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 240

Calls

Call 1

Inputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)

Outputs
(neg.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))))))))
(neg.f32 (/.f32 (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (.f32 n1_i n1_i)))) (neg.f32 (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (.f32 n1_i n1_i))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 n0_i n0_i)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle)) (-.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 n0_i n0_i)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 (/.f32 (.f32 n0_i (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
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(.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (-.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 4 binary32)) (pow.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 n0_i n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle)))))
(.f32 (/.f32 (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (.f32 n1_i n1_i)))) (-.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32)) (sin.f32 normAngle))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))))
(*.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))) #s(literal -1 binary32))
(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))
(/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (neg.f32 u)))) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) #s(literal -1 binary32)) (sin.f32 normAngle))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle))))
(.f32 (/.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)) #s(literal -1 binary32))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))
(exp.f32 (log.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))) #s(literal 1 binary32)))
(pow.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) n0_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (sin.f32 normAngle))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i)
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)))
(.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(.f32 (.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)) #s(literal -1 binary32))
(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (exp.f32 (log.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) (exp.f32 (log.f32 n0_i)))
(*.f32 (exp.f32 (log.f32 n0_i)) (exp.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(.f32 (exp.f32 (log.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 normAngle (*.f32 normAngle (neg.f32 u)))
(+.f32 (*.f32 normAngle (neg.f32 u)) normAngle)
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u) (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 normAngle (neg.f32 u)))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u) (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))))
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (neg.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(/.f32 (fma.f32 (.f32 normAngle normAngle) normAngle (.f32 (.f32 u (.f32 u u)) (.f32 (.f32 normAngle normAngle) normAngle))) (fma.f32 normAngle normAngle (-.f32 (.f32 (.f32 normAngle (neg.f32 u)) (.f32 normAngle (neg.f32 u))) (.f32 normAngle (*.f32 normAngle (neg.f32 u))))))
(/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 normAngle (neg.f32 u)))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u))))
(/.f32 (.f32 normAngle (neg.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (.f32 normAngle (+.f32 #s(literal -1 binary32) (.f32 u u))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(/.f32 (.f32 (neg.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32))) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 u u)) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) u))
(.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) normAngle))
(.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) normAngle))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) u)))
(*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)
(.f32 (.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(.f32 (/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (.f32 (fma.f32 u u u) (fma.f32 u u u)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u u u) (fma.f32 u u u)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(.f32 (/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(.f32 (/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))

simplify479.0ms (3.4%)

Memory

11.2MiB live, 608.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 022×	`lower-fma.f64`
12 022×	`lower-fma.f32`
6 426×	`lower-+.f64`
6 426×	`lower-+.f32`
5 452×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	2830
1	987	2714
2	3385	2654
0	8124	2540

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

Inputs
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))

Outputs
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) (fma.f32 (fma.f32 n1_i (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (sin.f32 normAngle)) (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 normAngle (.f32 normAngle normAngle)))) (sin.f32 normAngle)))) (.f32 u u) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) n0_i)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (.f32 #s(literal -1/36 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 n1_i (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (*.f32 u normAngle) (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (/.f32 (.f32 u (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) #s(literal 1 binary32))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 #s(literal 1/120 binary32) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32))))) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (/.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (.f32 u (.f32 u (pow.f32 normAngle #s(literal 7 binary32)))) (sin.f32 normAngle)) (/.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (.f32 #s(literal -1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)) (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (.f32 #s(literal -1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (fma.f32 #s(literal 1/720 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (.f32 #s(literal -1/5040 binary32) (neg.f32 u))))) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (.f32 #s(literal -1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) u)
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (neg.f32 u) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (.f32 n0_i (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (/.f32 (.f32 u (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)))) (/.f32 (.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (neg.f32 (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(* n0_i (- 1 u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))))) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))))) (fma.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)) (.f32 #s(literal -1/720 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))))) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))) (.f32 n0_i (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 u (neg.f32 normAngle) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* -1 (* normAngle u))
(*.f32 u (neg.f32 normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(*.f32 u (neg.f32 normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)
(* normAngle (- 1 u))
(fma.f32 u (neg.f32 normAngle) normAngle)

eval79.0ms (0.6%)

Memory: 10.1MiB live, 87.7MiB allocated
Compiler: Compiled 14 967 to 1 041 computations (93% saved)

prune159.0ms (1.1%)

Memory

-5.0MiB live, 115.0MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	378	14	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	14	393

Accuracy

100.0%

Counts

393 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
▶	97.7%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
	99.1%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
▶	99.1%	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
▶	98.2%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	98.0%	(+.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.0%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	97.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle)))) n1_i))
	82.0%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	73.0%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
	37.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	62.2%	(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
▶	60.0%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))

Compiler

Compiled 696 to 418 computations (39.9% saved)

simplify482.0ms (3.4%)

Memory

-22.0MiB live, 420.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
✓	cost-diff	0	(sin.f32 normAngle)
✓	cost-diff	0	(/.f32 n0_i (sin.f32 normAngle))
✓	cost-diff	0	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
✓	cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓	cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	cost-diff	64	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	0	(fma.f32 u (neg.f32 normAngle) normAngle)
✓	cost-diff	0	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	cost-diff	0	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	cost-diff	0	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	160	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	cost-diff	0	(*.f32 normAngle (cos.f32 normAngle))
✓	cost-diff	0	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
✓	cost-diff	0	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	cost-diff	3712	(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))

Rules

10 098×	`lower-fma.f64`
10 082×	`lower-fma.f32`
3 948×	`lower-*.f64`
3 922×	`lower-*.f32`
1 698×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	315
0	89	311
1	167	309
2	361	307
3	939	299
4	2600	299
5	4067	298
6	5161	298
7	6708	298
0	8036	296

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
u
(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
n0_i
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(neg.f32 (sin.f32 normAngle))
(sin.f32 normAngle)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 u n1_i)
n1_i
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
n0_i
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
u
(neg.f32 normAngle)
normAngle
(sin.f32 normAngle)
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(*.f32 normAngle normAngle)
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
n1_i
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
normAngle
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(fma.f32 normAngle (neg.f32 u) normAngle)
(neg.f32 u)
u
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(/.f32 n1_i (sin.f32 normAngle))
n1_i

Outputs
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) n0_i)
u
(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i))
n0_i
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(neg.f32 (sin.f32 normAngle))
(sin.f32 normAngle)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 u n1_i)
n1_i
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
n0_i
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
u
(neg.f32 normAngle)
normAngle
(sin.f32 normAngle)
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle n1_i)) n1_i) (.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)
(.f32 u (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle n1_i)) n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(fma.f32 normAngle (.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 u normAngle)) u)
(*.f32 normAngle normAngle)
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
n1_i
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))))
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
normAngle
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(neg.f32 u)
u
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(/.f32 n1_i (sin.f32 normAngle))
n1_i

localize274.0ms (1.9%)

Memory

40.6MiB live, 354.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 n1_i (sin.f32 normAngle))
✓	accuracy	100.0%	(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
✓	accuracy	99.3%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
✓	accuracy	95.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓	accuracy	99.5%	(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	98.9%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	100.0%	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	accuracy	99.6%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	accuracy	99.1%	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	99.6%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	accuracy	99.9%	(*.f32 normAngle (cos.f32 normAngle))
✓	accuracy	99.9%	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	accuracy	99.9%	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
✓	accuracy	99.6%	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))

Samples

146.0ms	248×	0	valid
6.0ms	8×	1	valid

Compiler

Compiled 337 to 54 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 40.0ms (47.4% of total)

ival-sin: 11.0ms (13% of total)

ival-add: 10.0ms (11.9% of total)

ival-div: 8.0ms (9.5% of total)

const: 7.0ms (8.3% of total)

ival-neg: 3.0ms (3.6% of total)

ival-cos: 2.0ms (2.4% of total)

adjust: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series185.0ms (1.3%)

Memory

-16.2MiB live, 152.9MiB allocated

Counts

25 → 660

Calls

Call 1

Inputs
#<alt (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))>
#<alt (*.f32 normAngle (cos.f32 normAngle))>
#<alt (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (*.f32 u n1_i)>
#<alt (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))>
#<alt (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))>
#<alt (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))>
#<alt (fma.f32 u (neg.f32 normAngle) normAngle)>
#<alt (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))>
#<alt (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (/.f32 n0_i (sin.f32 normAngle))>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))>
#<alt (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>
#<alt (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))>
#<alt (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (/.f32 n1_i (sin.f32 normAngle))>

Outputs
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt -1>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/2 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (* u (+ n1_i (* -1 n0_i)))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt 1>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
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#<alt 1>
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#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
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#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
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#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (+ 1 (* -1 u))>
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#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))>
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#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
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#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
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#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
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#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
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#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
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#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (- 1 u)>
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#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))>
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
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#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))>
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))>
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i normAngle)>
#<alt (/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)>
#<alt (/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)>
#<alt (/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt n1_i>
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i normAngle)>
#<alt (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)>
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)>
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>

Calls

165 calls:

Time	Variable		Point	Expression
36.0ms	n0_i	@	inf	(* n0_i (/ (sin (+ (* u (neg normAngle)) normAngle)) (sin normAngle)))
21.0ms	n0_i	@	-inf	(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))
16.0ms	n0_i	@	-inf	(/ n0_i (sin normAngle))
7.0ms	normAngle	@	inf	(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
3.0ms	n1_i	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))

rewrite378.0ms (2.7%)

Memory

4.7MiB live, 635.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 182×	`lower-*.f64`
4 156×	`lower-*.f32`
4 116×	`lower-/.f64`
4 106×	`lower-/.f32`
3 708×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	221
0	89	215
1	331	215
2	2327	213
0	8143	210

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

25 → 1 032

Calls

Call 1

Inputs
(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(-.f32 #s(literal 1 binary32) u)
(*.f32 u n1_i)
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 n0_i (sin.f32 normAngle))
(sin.f32 normAngle)
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))

Outputs
(+.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(pow.f32 (/.f32 (fma.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) #s(literal -1 binary32))
(fma.f32 n0_i (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 normAngle (.f32 (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) n0_i) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (.f32 normAngle (cos.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) n0_i (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 n1_i (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n0_i #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(-.f32 (/.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle))) (/.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))))))
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))))
(/.f32 (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (neg.f32 (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (*.f32 (sin.f32 normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 normAngle n1_i))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (neg.f32 (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 n0_i (neg.f32 (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))))
(/.f32 (fma.f32 normAngle (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 #s(literal 1 binary32) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (+.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (sin.f32 normAngle)))
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(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))
(fma.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u)))
(-.f32 (/.f32 (pow.f32 (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))) (/.f32 (.f32 n1_i (.f32 (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u))) (-.f32 (pow.f32 (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 n1_i (.f32 (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))))))
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(/.f32 (fma.f32 (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)) (.f32 n1_i (.f32 (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))) (pow.f32 (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n1_i (.f32 (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u))) (-.f32 (pow.f32 (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u)))))))
(/.f32 (-.f32 (pow.f32 (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 n1_i (.f32 (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u))))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 (neg.f32 n1_i) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 normAngle (-.f32 normAngle (.f32 normAngle (neg.f32 u))) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 (.f32 normAngle normAngle) (.f32 u u)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)) (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (neg.f32 (*.f32 normAngle normAngle))))))
(/.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 (.f32 normAngle normAngle) (.f32 u u)))) (fma.f32 normAngle (-.f32 normAngle (.f32 normAngle (neg.f32 u))) (.f32 (.f32 normAngle normAngle) (.f32 u u))))
(/.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 (.f32 normAngle normAngle) (.f32 u u)))) (fma.f32 normAngle normAngle (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u u)) (neg.f32 (.f32 (*.f32 normAngle u) normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (neg.f32 (*.f32 normAngle normAngle))) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)))
(/.f32 (neg.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 (.f32 normAngle normAngle) (.f32 u u))))) (neg.f32 (fma.f32 normAngle (-.f32 normAngle (.f32 normAngle (neg.f32 u))) (.f32 (.f32 normAngle normAngle) (.f32 u u)))))
(/.f32 (neg.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 (.f32 normAngle normAngle) (.f32 u u))))) (neg.f32 (fma.f32 normAngle normAngle (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u u)) (neg.f32 (.f32 (*.f32 normAngle u) normAngle))))))
(/.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (neg.f32 (*.f32 normAngle normAngle)))) (neg.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))))
(/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u))))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) normAngle) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u u)) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))) (.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)) (.f32 normAngle normAngle))) (*.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 (.f32 normAngle normAngle) (.f32 u u)))))) (neg.f32 (neg.f32 (fma.f32 normAngle (-.f32 normAngle (.f32 normAngle (neg.f32 u))) (.f32 (.f32 normAngle normAngle) (.f32 u u))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (neg.f32 (*.f32 normAngle normAngle))))) (neg.f32 (neg.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)))))
(/.f32 (neg.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u u)))) (neg.f32 (-.f32 normAngle (*.f32 normAngle (neg.f32 u)))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) normAngle)) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 (.f32 normAngle normAngle) (.f32 u u)))) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (-.f32 normAngle (.f32 normAngle (neg.f32 u))) (.f32 (.f32 normAngle normAngle) (*.f32 u u)))))
(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (neg.f32 (.f32 normAngle normAngle))) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))))
(+.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u #s(literal -1/6 binary32))))
(+.f32 (.f32 u (.f32 u #s(literal -1/6 binary32))) #s(literal 1/6 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))) #s(literal -1 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(fma.f32 (*.f32 u #s(literal -1/6 binary32)) u #s(literal 1/6 binary32))
(-.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u))) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u))) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u))) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)))) (-.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u #s(literal -1/6 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u))) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1/36 binary32))) (.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)))) (neg.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u))))) (neg.f32 (-.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u #s(literal -1/6 binary32))))))
(.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u)))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (neg.f32 n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 normAngle u))) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (neg.f32 n1_i) (sin.f32 (.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) #s(literal 1 binary32))) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) (neg.f32 n1_i))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (sin.f32 (.f32 normAngle u)))) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (neg.f32 (.f32 (neg.f32 n1_i) (sin.f32 (.f32 normAngle u)))) (sin.f32 normAngle))
(.f32 n1_i (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u)))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(neg.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) n1_i)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))))
(/.f32 (neg.f32 n1_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 n1_i)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (neg.f32 n1_i))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n1_i #s(literal 1 binary32))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n1_i #s(literal -1 binary32))) (sin.f32 normAngle))
(/.f32 (neg.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32))) (neg.f32 (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n1_i) #s(literal -1 binary32)))
(*.f32 (neg.f32 n1_i) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 n1_i #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

simplify466.0ms (3.3%)

Memory

32.8MiB live, 974.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 824×	`lower-fma.f64`
13 824×	`lower-fma.f32`
7 496×	`lower-*.f64`
7 496×	`lower-*.f32`
5 078×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	823	9882
1	2862	9285
0	8693	8837

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 649

Calls

Call 1

Inputs
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
-1
(- (* 1/3 (pow normAngle 2)) 1)
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
normAngle
(* normAngle (+ 1 (* -1/2 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* n1_i u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- 1 u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
n0_i
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -1 u)
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(* n0_i (+ 1 (* -1 u)))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(+ 1 (* -1 u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(* normAngle (- 1 u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i normAngle)
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(* 1/6 u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* -1/6 (pow u 3))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 3))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
1/6
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))

Outputs
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (neg.f32 n1_i) normAngle) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32))))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(*.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) u n0_i)
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) u)
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) u)
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(neg.f32 (.f32 (neg.f32 u) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(neg.f32 (.f32 (neg.f32 u) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(neg.f32 (.f32 (neg.f32 u) (-.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)) (/.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (.f32 normAngle (/.f32 u (sin.f32 normAngle))) (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (.f32 normAngle (/.f32 u (sin.f32 normAngle))) (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (.f32 normAngle (/.f32 u (sin.f32 normAngle))) (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))) n0_i)
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))) n0_i)
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle u)) (neg.f32 (sin.f32 normAngle)))) n0_i)
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(neg.f32 (.f32 n0_i (fma.f32 normAngle (/.f32 (.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal -1 binary32))))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(neg.f32 (.f32 n0_i (fma.f32 normAngle (/.f32 (.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(neg.f32 (.f32 n0_i (fma.f32 normAngle (/.f32 (.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(neg.f32 (.f32 n0_i (fma.f32 normAngle (/.f32 (.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) u) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (.f32 normAngle (.f32 normAngle u)) (.f32 (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) u)) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 normAngle u))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(.f32 (.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) u) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(*.f32 (fma.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(*.f32 (fma.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(*.f32 (fma.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n1_i (.f32 normAngle (/.f32 u (sin.f32 normAngle))) (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n1_i (.f32 normAngle (/.f32 u (sin.f32 normAngle))) (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 n1_i (.f32 normAngle (/.f32 u (sin.f32 normAngle))) (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle u)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle u)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle u)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))) n1_i))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))) n1_i))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle))) n1_i))))
-1
#s(literal -1 binary32)
(- (* 1/3 (pow normAngle 2)) 1)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))
normAngle
(* normAngle (+ 1 (* -1/2 (pow normAngle 2))))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/24 binary32) #s(literal -1/2 binary32)) normAngle) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))
(fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/720 binary32)) #s(literal 1/24 binary32))) #s(literal -1/2 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* n1_i u)
(*.f32 n1_i u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (* n1_i u))
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(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 u) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
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(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal -1/2 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
(fma.f32 u (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 n0_i (.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))
(fma.f32 u (fma.f32 u (fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (.f32 (.f32 n0_i #s(literal 1/6 binary32)) (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 normAngle normAngle)))) (sin.f32 normAngle))) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) n0_i)
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle (.f32 u (.f32 u u)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (.f32 u u))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle (.f32 u (.f32 u u)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32))) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (.f32 u u)) (/.f32 (.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))))) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (.f32 u u)) (/.f32 (.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))))) (neg.f32 (.f32 u (*.f32 u u))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(-.f32 n0_i (/.f32 (.f32 (.f32 normAngle (*.f32 n0_i (cos.f32 normAngle))) u) (sin.f32 normAngle)))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 n0_i (.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32))) (.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 n0_i #s(literal 1/6 binary32)) (.f32 (cos.f32 normAngle) (.f32 u (.f32 normAngle (.f32 normAngle normAngle))))) (sin.f32 normAngle))) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (- 1 u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 u) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (.f32 u (*.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u)))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u)) (.f32 n1_i (.f32 u #s(literal 1/120 binary32)))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u)) (.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u)))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (*.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32))) (.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 u (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 n0_i #s(literal 1/6 binary32)) (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 normAngle normAngle)))) (sin.f32 normAngle))) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) n0_i)
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i normAngle)
(/.f32 n0_i normAngle)
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n0_i) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/840 binary32) (.f32 n0_i #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 7/360 binary32))) (.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 u) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* 1/6 u)
(*.f32 #s(literal 1/6 binary32) u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (*.f32 u u)))) (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 n1_i (.f32 u u))) (sin.f32 normAngle)) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle)))) (sin.f32 normAngle))) (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (fma.f32 (.f32 n1_i #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 n1_i #s(literal -1/5040 binary32)) (.f32 u (.f32 u (pow.f32 normAngle #s(literal 7 binary32))))) (sin.f32 normAngle))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle)))) (sin.f32 normAngle))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(* n1_i u)
(*.f32 n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (.f32 u (.f32 u u)) u)) (.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(fma.f32 n1_i u (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u)) (.f32 n1_i (.f32 u #s(literal 1/120 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (.f32 u (.f32 u u)) u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n1_i #s(literal -1/5040 binary32)) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u)) (.f32 n1_i (.f32 u #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u)) (.f32 n1_i (.f32 #s(literal -1/5040 binary32) u))))) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u)) (.f32 n1_i (.f32 u #s(literal 1/120 binary32)))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (-.f32 (.f32 u (.f32 u u)) u))) (*.f32 n1_i u))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i normAngle)
(/.f32 n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))

eval290.0ms (2.1%)

Memory: -18.8MiB live, 522.3MiB allocated
Compiler: Compiled 61 000 to 4 327 computations (92.9% saved)

prune237.0ms (1.7%)

Memory

12.2MiB live, 664.1MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1 863	26	1 889
Fresh	7	2	9
Picked	4	1	5
Done	0	0	0
Total	1 874	29	1 903

Accuracy

100.0%

Counts

1 903 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))
	97.7%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
	98.3%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i u))
	98.6%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
▶	99.1%	(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	99.1%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
▶	99.2%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	99.1%	(fma.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	98.3%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓	98.2%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	98.0%	(fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) (*.f32 u n1_i))
	60.1%	(fma.f32 n0_i (neg.f32 u) n0_i)
▶	82.4%	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
▶	31.8%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
	32.2%	(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
	99.0%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	98.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	82.0%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	36.9%	(*.f32 (-.f32 n1_i n0_i) u)
	38.4%	(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (.f32 u u))))
	98.0%	(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
	38.8%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
	38.4%	(*.f32 n1_i u)
	60.0%	(.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))
	97.8%	(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
	60.0%	(.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
	59.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
▶	48.4%	(*.f32 n0_i #s(literal 1 binary32))

Compiler

Compiled 1 156 to 694 computations (40% saved)

simplify271.0ms (1.9%)

Memory

6.2MiB live, 480.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 normAngle)
✓	cost-diff	0	(*.f32 normAngle u)
✓	cost-diff	0	(.f32 n1_i (.f32 normAngle u))
✓	cost-diff	0	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
✓	cost-diff	0	(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
✓	cost-diff	0	(.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	160	(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	160	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
✓	cost-diff	160	(*.f32 n0_i #s(literal 1 binary32))
✓	cost-diff	64	(+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))
✓	cost-diff	64	(neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))))
✓	cost-diff	192	(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
✓	cost-diff	256	(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))

Rules

10 860×	`lower-fma.f64`
10 844×	`lower-fma.f32`
4 166×	`lower-+.f64`
4 164×	`lower-+.f32`
2 864×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	263
0	66	239
1	141	211
2	433	211
3	1765	211
4	7236	211
0	8254	203

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))))
(+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))
(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))
(*.f32 n0_i #s(literal 1/24 binary32))
n0_i
#s(literal 1/24 binary32)
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
#s(literal 1/18 binary32)
(*.f32 n0_i #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 n1_i #s(literal -7/360 binary32))
n1_i
#s(literal -7/360 binary32)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
(*.f32 n0_i #s(literal 1 binary32))
n0_i
#s(literal 1 binary32)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
n0_i
#s(literal 1 binary32)
(*.f32 u n1_i)
u
n1_i
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 normAngle normAngle)
normAngle
(.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
n0_i
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
n1_i
#s(literal 1/6 binary32)
u
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(.f32 n1_i (.f32 normAngle u))
n1_i
(*.f32 normAngle u)
normAngle
u
(sin.f32 normAngle)

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))
(fma.f32 n0_i #s(literal -1/45 binary32) (*.f32 n1_i #s(literal -7/360 binary32)))
(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))
(*.f32 n0_i #s(literal -1/45 binary32))
(*.f32 n0_i #s(literal 1/24 binary32))
n0_i
#s(literal 1/24 binary32)
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
(*.f32 n0_i #s(literal 23/360 binary32))
#s(literal 1/18 binary32)
(*.f32 n0_i #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 n1_i #s(literal -7/360 binary32))
n1_i
#s(literal -7/360 binary32)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
(*.f32 n0_i #s(literal 1 binary32))
n0_i
n0_i
#s(literal 1 binary32)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 u n1_i n0_i)
n0_i
#s(literal 1 binary32)
(*.f32 u n1_i)
u
n1_i
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(*.f32 normAngle normAngle)
normAngle
(.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)
(.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
n0_i
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
n1_i
#s(literal 1/6 binary32)
u
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 n1_i n0_i)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle))
(.f32 n1_i (.f32 normAngle u))
(.f32 u (.f32 normAngle n1_i))
n1_i
(*.f32 normAngle u)
(*.f32 u normAngle)
normAngle
u
(sin.f32 normAngle)

localize176.0ms (1.2%)

Memory

26.1MiB live, 175.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 normAngle u)
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	99.7%	(.f32 n1_i (.f32 normAngle u))
✓	accuracy	60.6%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
✓	accuracy	99.9%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
✓	accuracy	99.2%	(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
✓	accuracy	99.2%	(.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	99.9%	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
✓	accuracy	100.0%	(*.f32 n0_i #s(literal 1 binary32))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))
✓	accuracy	98.9%	(*.f32 n1_i #s(literal -7/360 binary32))
✓	accuracy	98.0%	(*.f32 n0_i #s(literal 1/120 binary32))
✓	accuracy	97.7%	(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))

Samples

128.0ms	251×	0	valid
3.0ms	2×	5	exit
2.0ms	3×	1	valid

Compiler

Compiled 289 to 44 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 25.0ms (38.4% of total)

const: 20.0ms (30.7% of total)

ival-add: 10.0ms (15.4% of total)

ival-sin: 3.0ms (4.6% of total)

ival-div: 2.0ms (3.1% of total)

ival-sub: 2.0ms (3.1% of total)

adjust: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series71.0ms (0.5%)

Memory

-12.5MiB live, 147.1MiB allocated

Counts

19 → 444

Calls

Call 1

Inputs
#<alt (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))>
#<alt (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))>
#<alt (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))))>
#<alt (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))>
#<alt (*.f32 n0_i #s(literal 1 binary32))>
#<alt (fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))>
#<alt (*.f32 u n1_i)>
#<alt (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))>
#<alt (*.f32 normAngle normAngle)>
#<alt (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)>
#<alt (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))>
#<alt (/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))>
#<alt (.f32 n1_i (.f32 normAngle u))>
#<alt (*.f32 normAngle u)>
#<alt (sin.f32 normAngle)>
#<alt (*.f32 n0_i #s(literal 1/120 binary32))>
#<alt (*.f32 n1_i #s(literal -7/360 binary32))>
#<alt (*.f32 n1_i #s(literal 1/6 binary32))>
#<alt (fma.f32 (-.f32 n1_i n0_i) u n0_i)>

Outputs
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 7/360 n1_i)>
#<alt (- (* 1/45 n0_i) (* -7/360 n1_i))>
#<alt (- (* 1/45 n0_i) (* -7/360 n1_i))>
#<alt (- (* 1/45 n0_i) (* -7/360 n1_i))>
#<alt (* 1/45 n0_i)>
#<alt (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))>
#<alt (* 1/45 n0_i)>
#<alt (* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))>
#<alt (* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))>
#<alt (* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))>
#<alt (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))>
#<alt (- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))>
#<alt (- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))>
#<alt (- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))>
#<alt (* 7/360 n1_i)>
#<alt (* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))>
#<alt (* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))>
#<alt (* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))>
#<alt (* 7/360 n1_i)>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))>
#<alt (* -7/360 n1_i)>
#<alt (+ (* -1/45 n0_i) (* -7/360 n1_i))>
#<alt (+ (* -1/45 n0_i) (* -7/360 n1_i))>
#<alt (+ (* -1/45 n0_i) (* -7/360 n1_i))>
#<alt (* -1/45 n0_i)>
#<alt (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))>
#<alt (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))>
#<alt (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))>
#<alt (* -1/45 n0_i)>
#<alt (* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))>
#<alt (* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))>
#<alt (* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))>
#<alt (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))>
#<alt (- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))>
#<alt (- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))>
#<alt (- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))>
#<alt (* -7/360 n1_i)>
#<alt (* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* -7/360 n1_i)>
#<alt (* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))>
#<alt (* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))>
#<alt (* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt (* n1_i u)>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u)))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i)))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (* 1/6 (* n1_i u))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* 1/3 (* n0_i u))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* 1/6 n1_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/3 n0_i)>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* 1/3 n0_i)>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* 1/3 n0_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/6 n1_i)>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* 1/6 n1_i)>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* -7/360 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* -1 (* n0_i (- u 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (* u (- n1_i n0_i))>
#<alt (* u (- (+ n1_i (/ n0_i u)) n0_i))>
#<alt (* u (- (+ n1_i (/ n0_i u)) n0_i))>
#<alt (* u (- (+ n1_i (/ n0_i u)) n0_i))>
#<alt (* u (- n1_i n0_i))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))>

Calls

111 calls:

Time	Variable		Point	Expression
14.0ms	u	@	0	(+ (* (* normAngle normAngle) (* (+ (* n0_i 1/3) (* n1_i 1/6)) u)) (+ (* (- n1_i n0_i) u) n0_i))
5.0ms	n0_i	@	0	(- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))
4.0ms	n1_i	@	-inf	(+ (* (* normAngle normAngle) (* (+ (* n0_i 1/3) (* n1_i 1/6)) u)) (+ (* (- n1_i n0_i) u) n0_i))
2.0ms	n0_i	@	-inf	(+ (* (* normAngle normAngle) (* (+ (* n0_i 1/3) (* n1_i 1/6)) u)) (+ (* (- n1_i n0_i) u) n0_i))
2.0ms	u	@	-inf	(* (+ (* n0_i 1/3) (* n1_i 1/6)) u)

rewrite373.0ms (2.6%)

Memory

14.1MiB live, 485.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 896×	`lower-fma.f64`
6 886×	`lower-fma.f32`
4 306×	`lower-*.f64`
4 286×	`lower-*.f32`
4 092×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	125
0	57	110
1	213	97
2	1747	97
0	8311	93

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 439

Calls

Call 1

Inputs
(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
(neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))))
(+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32)))
(*.f32 n0_i #s(literal 1 binary32))
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(*.f32 u n1_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(*.f32 normAngle normAngle)
(.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(.f32 n1_i (.f32 normAngle u))
(*.f32 normAngle u)
(sin.f32 normAngle)
(*.f32 n0_i #s(literal 1/120 binary32))
(*.f32 n1_i #s(literal -7/360 binary32))
(*.f32 n1_i #s(literal 1/6 binary32))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)

Outputs
(+.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 n0_i #s(literal -23/360 binary32)))
(+.f32 (.f32 n0_i #s(literal -23/360 binary32)) (.f32 n0_i #s(literal 1/24 binary32)))
(+.f32 (.f32 n0_i #s(literal -1/72 binary32)) (neg.f32 (.f32 n0_i #s(literal 1/120 binary32))))
(+.f32 (.f32 n0_i #s(literal -1/72 binary32)) (.f32 (neg.f32 n0_i) #s(literal 1/120 binary32)))
(+.f32 (.f32 n0_i #s(literal -1/72 binary32)) (.f32 #s(literal -1/120 binary32) n0_i))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 n0_i #s(literal -1/45 binary32))) #s(literal -1 binary32))
(fma.f32 n0_i #s(literal 1/24 binary32) (*.f32 n0_i #s(literal -23/360 binary32)))
(fma.f32 n0_i #s(literal -23/360 binary32) (*.f32 n0_i #s(literal 1/24 binary32)))
(fma.f32 n0_i #s(literal -1/72 binary32) (neg.f32 (*.f32 n0_i #s(literal 1/120 binary32))))
(fma.f32 n0_i #s(literal -1/72 binary32) (*.f32 (neg.f32 n0_i) #s(literal 1/120 binary32)))
(fma.f32 n0_i #s(literal -1/72 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))
(fma.f32 #s(literal 1/24 binary32) n0_i (*.f32 n0_i #s(literal -23/360 binary32)))
(fma.f32 (.f32 n0_i #s(literal 1/24 binary32)) #s(literal 1 binary32) (.f32 n0_i #s(literal -23/360 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 n0_i #s(literal 1/24 binary32)) (.f32 n0_i #s(literal -23/360 binary32)))
(fma.f32 (neg.f32 n0_i) #s(literal 23/360 binary32) (*.f32 n0_i #s(literal 1/24 binary32)))
(fma.f32 #s(literal -1 binary32) (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n0_i #s(literal 1/24 binary32)))
(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 n0_i #s(literal 23/360 binary32)))
(-.f32 (.f32 n0_i #s(literal -1/72 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))
(-.f32 (/.f32 (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/13824 binary32)) (fma.f32 (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n0_i #s(literal 19/180 binary32)) (.f32 (.f32 n0_i n0_i) #s(literal 1/576 binary32)))) (/.f32 (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 12167/46656000 binary32)) (fma.f32 (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n0_i #s(literal 19/180 binary32)) (.f32 (.f32 n0_i n0_i) #s(literal 1/576 binary32)))))
(-.f32 (.f32 (/.f32 (.f32 n0_i n0_i) n0_i) #s(literal 5/304 binary32)) (.f32 (/.f32 (.f32 n0_i n0_i) n0_i) #s(literal 529/13680 binary32)))
(-.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (*.f32 n0_i #s(literal 1/18 binary32)))
(-.f32 (/.f32 (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -1/373248 binary32)) (fma.f32 (.f32 n0_i #s(literal -1/72 binary32)) (.f32 n0_i #s(literal -1/72 binary32)) (fma.f32 (.f32 n0_i n0_i) #s(literal 1/14400 binary32) (.f32 (.f32 n0_i #s(literal -1/72 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))))) (/.f32 (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/1728000 binary32)) (fma.f32 (.f32 n0_i #s(literal -1/72 binary32)) (.f32 n0_i #s(literal -1/72 binary32)) (fma.f32 (.f32 n0_i n0_i) #s(literal 1/14400 binary32) (.f32 (.f32 n0_i #s(literal -1/72 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))))))
(-.f32 (/.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/576 binary32)) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 n0_i #s(literal -23/360 binary32)))) (/.f32 (.f32 (.f32 n0_i n0_i) #s(literal 529/129600 binary32)) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 n0_i #s(literal -23/360 binary32)))))
(-.f32 (/.f32 (.f32 (.f32 n0_i #s(literal -1/72 binary32)) (.f32 n0_i #s(literal -1/72 binary32))) (fma.f32 n0_i #s(literal -1/72 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (/.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/14400 binary32)) (fma.f32 n0_i #s(literal -1/72 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 n0_i #s(literal -1/45 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 n0_i #s(literal -1/45 binary32))) #s(literal 1 binary32)))
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(.f32 (fma.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 u (.f32 u (-.f32 n1_i n0_i)))) (.f32 n0_i (.f32 n0_i n0_i))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (-.f32 n1_i n0_i) (.f32 u (*.f32 u (-.f32 n1_i n0_i)))))))
(.f32 (.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (fma.f32 u (-.f32 n1_i n0_i) (neg.f32 n0_i))) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 n1_i n0_i) (neg.f32 n0_i))))

simplify683.0ms (4.8%)

Memory

22.7MiB live, 883.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20 380×	`lower-fma.f64`
20 380×	`lower-fma.f32`
5 624×	`lower-+.f64`
5 624×	`lower-+.f32`
4 920×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	290	3513
1	961	3371
2	3225	3289
0	8122	3052

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 425

Calls

Call 1

Inputs
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 7/360 n1_i)
(- (* 1/45 n0_i) (* -7/360 n1_i))
(- (* 1/45 n0_i) (* -7/360 n1_i))
(- (* 1/45 n0_i) (* -7/360 n1_i))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))
(* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))
(* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))
(* 1/45 n0_i)
(* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))
(* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))
(* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))
(- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))
(- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))
(- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))
(- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))
(* 7/360 n1_i)
(* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))
(* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))
(* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))
(* 7/360 n1_i)
(* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))
(* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))
(* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))
(* -7/360 n1_i)
(+ (* -1/45 n0_i) (* -7/360 n1_i))
(+ (* -1/45 n0_i) (* -7/360 n1_i))
(+ (* -1/45 n0_i) (* -7/360 n1_i))
(* -1/45 n0_i)
(* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))
(* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))
(* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))
(* -1/45 n0_i)
(* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))
(- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(* -7/360 n1_i)
(* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* -7/360 n1_i)
(* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
(* n1_i u)
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
n0_i
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u)))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i)))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(* 1/6 (* n1_i u))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(* 1/3 (* n0_i u))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* 1/3 (* n0_i u))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* 1/3 (* n0_i u))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(* 1/6 (* n1_i u))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* 1/6 (* n1_i u))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* 1/6 n1_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* 1/3 n0_i)
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* 1/3 n0_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/6 n1_i)
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* 1/6 n1_i)
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i u)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* -7/360 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(* n1_i u)
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(* n1_i u)
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))
n0_i
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (* u (- n1_i n0_i)))
(* u (- n1_i n0_i))
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(* u (- n1_i n0_i))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))

Outputs
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 23/360 n0_i)
(*.f32 n0_i #s(literal 23/360 binary32))
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(- (* 1/45 n0_i) (* -7/360 n1_i))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 #s(literal 7/360 binary32) n1_i))
(- (* 1/45 n0_i) (* -7/360 n1_i))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 #s(literal 7/360 binary32) n1_i))
(- (* 1/45 n0_i) (* -7/360 n1_i))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 #s(literal 7/360 binary32) n1_i))
(* 1/45 n0_i)
(*.f32 n0_i #s(literal 1/45 binary32))
(* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)))
(* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)))
(* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)))
(* 1/45 n0_i)
(*.f32 n0_i #s(literal 1/45 binary32))
(* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)))
(* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)))
(* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))
(*.f32 n0_i (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)))
(- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i))
(*.f32 n0_i #s(literal 1/45 binary32))
(- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 #s(literal 7/360 binary32) n1_i))
(- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 #s(literal 7/360 binary32) n1_i))
(- (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))) (* 1/24 n0_i))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 #s(literal 7/360 binary32) n1_i))
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* n1_i (- (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i)))) (* 1/24 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* -1 (* n1_i (- (* -1 (/ (- (+ (* 1/120 n0_i) (* 1/18 n0_i)) (* 1/24 n0_i)) n1_i)) 7/360)))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(+ (* -1/45 n0_i) (* -7/360 n1_i))
(fma.f32 #s(literal -1/45 binary32) n0_i (*.f32 n1_i #s(literal -7/360 binary32)))
(+ (* -1/45 n0_i) (* -7/360 n1_i))
(fma.f32 #s(literal -1/45 binary32) n0_i (*.f32 n1_i #s(literal -7/360 binary32)))
(+ (* -1/45 n0_i) (* -7/360 n1_i))
(fma.f32 #s(literal -1/45 binary32) n0_i (*.f32 n1_i #s(literal -7/360 binary32)))
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))
(*.f32 n0_i (fma.f32 #s(literal -7/360 binary32) (/.f32 n1_i n0_i) #s(literal -1/45 binary32)))
(* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))
(*.f32 n0_i (fma.f32 #s(literal -7/360 binary32) (/.f32 n1_i n0_i) #s(literal -1/45 binary32)))
(* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45))
(*.f32 n0_i (fma.f32 #s(literal -7/360 binary32) (/.f32 n1_i n0_i) #s(literal -1/45 binary32)))
(* -1/45 n0_i)
(*.f32 #s(literal -1/45 binary32) n0_i)
(* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i)))))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i n0_i) #s(literal 1/45 binary32)) (neg.f32 n0_i))
(- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(*.f32 #s(literal -1/45 binary32) n0_i)
(- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(fma.f32 #s(literal -1/45 binary32) n0_i (*.f32 n1_i #s(literal -7/360 binary32)))
(- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(fma.f32 #s(literal -1/45 binary32) n0_i (*.f32 n1_i #s(literal -7/360 binary32)))
(- (+ (* -7/360 n1_i) (* 1/24 n0_i)) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(fma.f32 #s(literal -1/45 binary32) n0_i (*.f32 n1_i #s(literal -7/360 binary32)))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(*.f32 n1_i (fma.f32 #s(literal -1/45 binary32) (/.f32 n0_i n1_i) #s(literal -7/360 binary32)))
(* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(*.f32 n1_i (fma.f32 #s(literal -1/45 binary32) (/.f32 n0_i n1_i) #s(literal -7/360 binary32)))
(* n1_i (- (* 1/24 (/ n0_i n1_i)) (+ 7/360 (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(*.f32 n1_i (fma.f32 #s(literal -1/45 binary32) (/.f32 n0_i n1_i) #s(literal -7/360 binary32)))
(* -7/360 n1_i)
(*.f32 n1_i #s(literal -7/360 binary32))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))
(*.f32 n1_i (fma.f32 #s(literal -1/45 binary32) (/.f32 n0_i n1_i) #s(literal -7/360 binary32)))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))
(*.f32 n1_i (fma.f32 #s(literal -1/45 binary32) (/.f32 n0_i n1_i) #s(literal -7/360 binary32)))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (- (* 1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)))))
(*.f32 n1_i (fma.f32 #s(literal -1/45 binary32) (/.f32 n0_i n1_i) #s(literal -7/360 binary32)))
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
(* n1_i u)
(*.f32 n1_i u)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
n0_i
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(fma.f32 n0_i (/.f32 (*.f32 n1_i u) n0_i) n0_i)
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))))
n0_i
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(* n1_i u)
(*.f32 n1_i u)
(* u (+ n1_i (/ n0_i u)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(* n1_i u)
(*.f32 n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
n0_i
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(* n1_i u)
(*.f32 n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) u))
(* n1_i (+ u (/ n0_i n1_i)))
(*.f32 n1_i (+.f32 (/.f32 n0_i n1_i) u))
(* n1_i (+ u (/ n0_i n1_i)))
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(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(+ n0_i (* -1 (* n0_i u)))
(fma.f32 n0_i (neg.f32 u) n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* n1_i u)
(*.f32 n1_i u)
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(*.f32 n1_i (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(*.f32 n1_i (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))
(*.f32 n1_i (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(* n1_i u)
(*.f32 n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(*.f32 n1_i (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(* n1_i u)
(*.f32 n1_i u)
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* n0_i (+ 1 (* -1 u)))
(fma.f32 n0_i (neg.f32 u) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* -1 (* n0_i (- u 1)))
(fma.f32 n0_i (neg.f32 u) n0_i)
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
n0_i
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* u (- n1_i n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(* u (- n1_i n0_i))
(*.f32 u (-.f32 n1_i n0_i))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))

eval369.0ms (2.6%)

Memory: -163.6MiB live, 234.7MiB allocated
Compiler: Compiled 29 025 to 2 530 computations (91.3% saved)

prune109.0ms (0.8%)

Memory

-7.6MiB live, 268.5MiB allocated

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	955	13	968
Fresh	4	19	23
Picked	5	0	5
Done	0	1	1
Total	964	33	997

Accuracy

100.0%

Counts

997 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))
	97.7%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
	98.3%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i u))
	98.6%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	99.1%	(fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	99.1%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
	99.1%	(fma.f32 u (fma.f32 (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
▶	99.2%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
▶	98.3%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	82.5%	(fma.f32 u n1_i n0_i)
	38.8%	(fma.f32 n1_i u (neg.f32 (.f32 (.f32 (.f32 n1_i u) (fma.f32 #s(literal -7/360 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle))))
✓	98.2%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	60.1%	(fma.f32 n0_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
	60.1%	(fma.f32 n0_i (neg.f32 u) n0_i)
▶	31.7%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
	31.8%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) normAngle))
	32.2%	(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
▶	98.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	99.0%	(+.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i)
	82.4%	(+.f32 (*.f32 n1_i u) n0_i)
	82.0%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	36.9%	(*.f32 (-.f32 n1_i n0_i) u)
	38.4%	(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (.f32 u u))))
	98.3%	(.f32 u (fma.f32 (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) normAngle) normAngle (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))))
	98.0%	(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
	38.8%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
	38.7%	(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
	38.4%	(*.f32 n1_i u)
	60.0%	(.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))
	60.0%	(.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
	59.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
▶	48.4%	n0_i

Compiler

Compiled 1 266 to 756 computations (40.3% saved)

simplify571.0ms (4%)

Memory

10.7MiB live, 791.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓	cost-diff	0	(.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i)
✓	cost-diff	64	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
✓	cost-diff	0	(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
✓	cost-diff	0	(*.f32 normAngle u)
✓	cost-diff	0	(.f32 n1_i (.f32 normAngle u))
✓	cost-diff	320	(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	0	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	cost-diff	160	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
✓	cost-diff	0	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
✓	cost-diff	160	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))

Rules

29 098×	`lower-fma.f64`
29 082×	`lower-fma.f32`
5 228×	`lower-*.f64`
5 202×	`lower-*.f32`
2 870×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	307
0	71	307
1	151	294
2	409	293
3	1271	293
4	4052	291
5	7099	291
0	8264	276

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(*.f32 #s(literal 7/360 binary32) n1_i)
#s(literal 7/360 binary32)
n1_i
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
n0_i
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n0_i
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(.f32 n1_i (.f32 normAngle u))
n1_i
(*.f32 normAngle u)
normAngle
u
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 normAngle normAngle)
#s(literal -1/6 binary32)
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 normAngle normAngle)
#s(literal -1/6 binary32)
n0_i
(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal 1/6 binary32)
n1_i

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 #s(literal 7/360 binary32) n1_i)
#s(literal 7/360 binary32)
n1_i
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
n0_i
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n0_i
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 u (neg.f32 n0_i) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(/.f32 (.f32 u n1_i) (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(.f32 n1_i (.f32 normAngle u))
(.f32 u (.f32 normAngle n1_i))
n1_i
(*.f32 normAngle u)
(*.f32 u normAngle)
normAngle
u
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 normAngle normAngle)
#s(literal -1/6 binary32)
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) n1_i) (.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
(.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i)
(.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 normAngle normAngle)
#s(literal -1/6 binary32)
n0_i
(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)
(.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(fma.f32 u (.f32 (.f32 normAngle normAngle) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u)
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal 1/6 binary32)
n1_i

localize183.0ms (1.3%)

Memory

-8.4MiB live, 282.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.3%	(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
✓	accuracy	98.9%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
✓	accuracy	100.0%	(*.f32 normAngle normAngle)
✓	accuracy	99.7%	(.f32 n1_i (.f32 normAngle u))
✓	accuracy	99.3%	(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
✓	accuracy	60.7%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	99.9%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓	accuracy	99.6%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	accuracy	99.9%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
✓	accuracy	99.2%	(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))
✓	accuracy	98.9%	(*.f32 #s(literal 7/360 binary32) n1_i)

Samples

85.0ms	248×	0	valid
7.0ms	7×	1	valid
1.0ms	1×	5	exit

Compiler

Compiled 335 to 46 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 32.0ms (43.3% of total)

ival-add: 19.0ms (25.7% of total)

const: 13.0ms (17.6% of total)

ival-div: 3.0ms (4.1% of total)

ival-sub: 2.0ms (2.7% of total)

ival-sin: 2.0ms (2.7% of total)

adjust: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series120.0ms (0.8%)

Memory

1.7MiB live, 115.4MiB allocated

Counts

21 → 540

Calls

Call 1

Inputs
#<alt (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))>
#<alt (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)>
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))>
#<alt (*.f32 normAngle normAngle)>
#<alt (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))>
#<alt (.f32 n1_i (.f32 normAngle u))>
#<alt (*.f32 normAngle u)>
#<alt (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)>
#<alt (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))>
#<alt (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))>
#<alt (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (*.f32 #s(literal 7/360 binary32) n1_i)>
#<alt (*.f32 n1_i #s(literal 1/6 binary32))>
#<alt (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))>
#<alt (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))>
#<alt (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>

Outputs
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* 7/360 (* n1_i (pow normAngle 2)))>
#<alt (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))>
#<alt (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))>
#<alt (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))>
#<alt (* 7/360 (* n1_i (pow normAngle 2)))>
#<alt (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))>
#<alt (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))>
#<alt (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))>
#<alt (* 1/3 n0_i)>
#<alt (+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))>
#<alt (+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))>
#<alt (+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))>
#<alt (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))>
#<alt (* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))>
#<alt (* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))>
#<alt (* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))>
#<alt (* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))>
#<alt (* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))>
#<alt (* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))>
#<alt (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))>
#<alt (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* 1/3 n0_i)>
#<alt (* n0_i (+ 1/3 (+ (* 7/360 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ n1_i n0_i)))))>
#<alt (* n0_i (+ 1/3 (+ (* 7/360 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ n1_i n0_i)))))>
#<alt (* n0_i (+ 1/3 (+ (* 7/360 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ n1_i n0_i)))))>
#<alt (* 1/3 n0_i)>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) n0_i)) 1/3)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))>
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))>
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))>
#<alt (* 7/360 (* n1_i (* (pow normAngle 4) u)))>
#<alt (* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))>
#<alt (* 7/360 (* n1_i (* (pow normAngle 4) u)))>
#<alt (* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))>
#<alt (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))>
#<alt (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))>
#<alt (* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))>
#<alt (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i))))>
#<alt (* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))>
#<alt (- n1_i n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)>
#<alt (* 7/360 (* n1_i (pow normAngle 4)))>
#<alt (* (pow normAngle 4) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))>
#<alt (* (pow normAngle 4) (- (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (/ n0_i (pow normAngle 4))))>
#<alt (* (pow normAngle 4) (- (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (/ n0_i (pow normAngle 4))))>
#<alt (* 7/360 (* n1_i (pow normAngle 4)))>
#<alt (* (pow normAngle 4) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))>
#<alt (* (pow normAngle 4) (- (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (/ n0_i (pow normAngle 4))))>
#<alt (* (pow normAngle 4) (- (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (/ n0_i (pow normAngle 4))))>
#<alt (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)>
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)>
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)>
#<alt (- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)>
#<alt (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))>
#<alt (* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (/ n0_i n1_i)))>
#<alt (* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))>
#<alt (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))>
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))>
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))>
#<alt (+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))>
#<alt (* n0_i (- (* 1/3 (pow normAngle 2)) 1))>
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))) n0_i))) 1))>
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))) n0_i))) 1))>
#<alt (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))) n0_i))) 1))>
#<alt (* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))) n0_i)) (* -1/3 (pow normAngle 2))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))) n0_i)) (* -1/3 (pow normAngle 2))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))) n0_i)) (* -1/3 (pow normAngle 2))))))>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (* u (+ n1_i (* -1 n0_i)))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (* -1 (* n0_i u))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt 1>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* n1_i u)>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* 1/36 (* n1_i (* (pow normAngle 2) u))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/216 (* n1_i (* (pow normAngle 2) u))) (* -1/36 (* n1_i u)))) (* -1/6 (* n1_i u)))))>
#<alt (* -6 (/ (* n1_i u) (pow normAngle 2)))>
#<alt (/ (+ (* -36 (/ (* n1_i u) (pow normAngle 2))) (* -6 (* n1_i u))) (pow normAngle 2))>
#<alt (/ (- (+ (* -216 (/ (* n1_i u) (pow normAngle 4))) (* -6 (* n1_i u))) (* 36 (/ (* n1_i u) (pow normAngle 2)))) (pow normAngle 2))>
#<alt (/ (- (+ (* -1296 (/ (* n1_i u) (pow normAngle 6))) (* -6 (* n1_i u))) (+ (* 36 (/ (* n1_i u) (pow normAngle 2))) (* 216 (/ (* n1_i u) (pow normAngle 4))))) (pow normAngle 2))>
#<alt (* -6 (/ (* n1_i u) (pow normAngle 2)))>
#<alt (/ (+ (* -36 (/ (* n1_i u) (pow normAngle 2))) (* -6 (* n1_i u))) (pow normAngle 2))>
#<alt (/ (+ (* -216 (/ (* n1_i u) (pow normAngle 4))) (+ (* -36 (/ (* n1_i u) (pow normAngle 2))) (* -6 (* n1_i u)))) (pow normAngle 2))>
#<alt (/ (+ (* -1296 (/ (* n1_i u) (pow normAngle 6))) (+ (* -216 (/ (* n1_i u) (pow normAngle 4))) (+ (* -36 (/ (* n1_i u) (pow normAngle 2))) (* -6 (* n1_i u))))) (pow normAngle 2))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* n1_i (* normAngle u))>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* -1/6 (pow normAngle 3))>
#<alt (* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))>
#<alt (* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))>
#<alt (* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))>
#<alt (* -1/6 (pow normAngle 3))>
#<alt (* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))>
#<alt (* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))>
#<alt (* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))>
#<alt (/ (sin normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (/ (sin normAngle) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1/2 (/ (* (pow normAngle 2) (* u (sin normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))))) (/ (sin normAngle) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))) (* u (+ (* -1/2 (/ (* (pow normAngle 2) (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))))))) (/ (sin normAngle) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (- 1 u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))) (* -1/6 (- 1 u))))) u)>
#<alt (* -6 (/ (sin (* normAngle (- 1 u))) (pow normAngle 3)))>
#<alt (/ (+ (* -36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* -6 (sin (* normAngle (- 1 u))))) (pow normAngle 3))>
#<alt (/ (- (+ (* -216 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (* -6 (sin (* normAngle (- 1 u))))) (* 36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 3))>
#<alt (/ (- (+ (* -1296 (/ (sin (* normAngle (- 1 u))) (pow normAngle 6))) (* -6 (sin (* normAngle (- 1 u))))) (+ (* 36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 216 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))))) (pow normAngle 3))>
#<alt (* -6 (/ (sin (* normAngle (- 1 u))) (pow normAngle 3)))>
#<alt (* -1 (/ (+ (* 6 (sin (* normAngle (- 1 u)))) (* 36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 3)))>
#<alt (* -1 (/ (- (+ (* 6 (sin (* normAngle (- 1 u)))) (* 216 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))) (* -36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 3)))>
#<alt (* -1 (/ (- (+ (* 6 (sin (* normAngle (- 1 u)))) (* 1296 (/ (sin (* normAngle (- 1 u))) (pow normAngle 6)))) (+ (* -216 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (* -36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))))) (pow normAngle 3)))>
#<alt (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3)))))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (+ normAngle (* -1/6 (pow normAngle 3))))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (+ normAngle (* -1/6 (pow normAngle 3))))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (+ normAngle (* -1/6 (pow normAngle 3)))))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (+ normAngle (* -1/6 (pow normAngle 3)))))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))>
#<alt (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (+ normAngle (* -1/6 (pow normAngle 3))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* -1/6 (pow normAngle 3))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* -1/6 (pow normAngle 3))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 3)))>
#<alt (/ (+ (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -6 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 3))>
#<alt (/ (- (+ (* -216 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (* -6 (* n0_i (sin (* normAngle (- 1 u)))))) (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 3))>
#<alt (/ (- (+ (* -1296 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 6))) (* -6 (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 216 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))))) (pow normAngle 3))>
#<alt (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 3)))>
#<alt (* -1 (/ (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 3)))>
#<alt (* -1 (/ (- (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 216 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))) (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 3)))>
#<alt (* -1 (/ (- (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 1296 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 6)))) (+ (* -216 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))))) (pow normAngle 3)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))>
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))>
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/3 n0_i)>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* 1/3 n0_i)>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* 1/3 n0_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/6 n1_i)>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* 1/6 n1_i)>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>

Calls

135 calls:

Time	Variable		Point	Expression
29.0ms	normAngle	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* normAngle (* (* normAngle normAngle) -1/6)) normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))
1.0ms	n1_i	@	0	(/ (* n1_i (* normAngle u)) (+ (* normAngle (* (* normAngle normAngle) -1/6)) normAngle))
1.0ms	n0_i	@	0	(* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* normAngle (* (* normAngle normAngle) -1/6)) normAngle))) n0_i)
1.0ms	n0_i	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* normAngle (* (* normAngle normAngle) -1/6)) normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))
1.0ms	n0_i	@	-inf	(* (* (sin (* (- 1 u) normAngle)) (/ 1 (+ (* normAngle (* (* normAngle normAngle) -1/6)) normAngle))) n0_i)

rewrite496.0ms (3.5%)

Memory

40.1MiB live, 711.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 626×	`lower-fma.f64`
6 610×	`lower-fma.f32`
5 638×	`lower-*.f64`
5 612×	`lower-*.f32`
4 236×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	212
0	71	206
1	297	201
2	2437	201
0	9853	195

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 619

Calls

Call 1

Inputs
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(.f32 n1_i (.f32 normAngle u))
(*.f32 normAngle u)
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)

Outputs
(+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 n0_i #s(literal 1/3 binary32))))
(+.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))))
(+.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))
(+.f32 (.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))))
(+.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 n1_i #s(literal 1/6 binary32)))
(+.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 n0_i #s(literal 1/3 binary32)))
(pow.f32 (/.f32 (fma.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (-.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))))) (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n1_i (*.f32 n1_i n1_i)) #s(literal 343/46656000 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))) #s(literal -1 binary32))
(fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 #s(literal 7/360 binary32) (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 (.f32 #s(literal 7/360 binary32) n1_i) (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle (*.f32 #s(literal 7/360 binary32) n1_i)))))
(fma.f32 #s(literal 1/3 binary32) n0_i (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle (*.f32 #s(literal 7/360 binary32) n1_i)))))
(fma.f32 #s(literal 1/6 binary32) n1_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/27 binary32) (.f32 #s(literal 1/216 binary32) (.f32 n1_i (.f32 n1_i n1_i)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 1/9 binary32)))) (.f32 normAngle (.f32 normAngle (*.f32 #s(literal 7/360 binary32) n1_i))))
(fma.f32 (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/9 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n1_i n1_i))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 #s(literal -1/6 binary32) n1_i))) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))))
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32)) n1_i (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(fma.f32 (.f32 (.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(-.f32 (/.f32 (.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))))) (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (/.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))))
(-.f32 (/.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))))) (/.f32 (.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))))) (-.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))))))
(-.f32 (/.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 n1_i n1_i)) (-.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 n0_i #s(literal 1/3 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (-.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))))) (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n1_i (*.f32 n1_i n1_i)) #s(literal 343/46656000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (-.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))))) (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n1_i (*.f32 n1_i n1_i)) #s(literal 343/46656000 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))))))
(/.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32)))) (fma.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (-.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (.f32 normAngle (*.f32 #s(literal 7/360 binary32) n1_i)))))))
(/.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32)))) (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (-.f32 (.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))))) (.f32 (.f32 #s(literal 7/360 binary32) n1_i) (.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))))))
(/.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))
(/.f32 (neg.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32))))) (neg.f32 (fma.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (-.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (.f32 normAngle (*.f32 #s(literal 7/360 binary32) n1_i))))))))
(/.f32 (neg.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32))))) (neg.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (-.f32 (.f32 normAngle (.f32 (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle (.f32 normAngle (.f32 #s(literal 7/360 binary32) n1_i))))) (.f32 (.f32 #s(literal 7/360 binary32) n1_i) (.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))))))))
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(fma.f32 (.f32 u u) (.f32 u #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) u))
(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u u)) u (*.f32 #s(literal 1/6 binary32) u))
(fma.f32 (.f32 u (.f32 u u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/6 binary32) u))
(fma.f32 (.f32 u #s(literal -1/6 binary32)) (.f32 u u) (*.f32 #s(literal 1/6 binary32) u))
(-.f32 (/.f32 (.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u)))) (-.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 #s(literal 1/6 binary32) u))) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) u) (.f32 #s(literal 1/6 binary32) u)) (-.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 #s(literal 1/6 binary32) u))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32))) (.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32))) (fma.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) u) (.f32 #s(literal 1/6 binary32) u)) (.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (*.f32 #s(literal 1/6 binary32) u)))))
(/.f32 (-.f32 (.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u)))) (.f32 (.f32 #s(literal 1/6 binary32) u) (.f32 #s(literal 1/6 binary32) u))) (-.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 #s(literal 1/6 binary32) u)))
(/.f32 (.f32 u (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (-.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal 1/36 binary32)) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))
(/.f32 (.f32 u (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) u) (-.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal 1/36 binary32)) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))
(/.f32 (.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32))) (.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32)))) (neg.f32 (fma.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (-.f32 (.f32 (.f32 #s(literal 1/6 binary32) u) (.f32 #s(literal 1/6 binary32) u)) (.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (*.f32 #s(literal 1/6 binary32) u))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u)))) (.f32 (.f32 #s(literal 1/6 binary32) u) (.f32 #s(literal 1/6 binary32) u)))) (neg.f32 (-.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 #s(literal 1/6 binary32) u))))
(/.f32 (neg.f32 (.f32 u (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)))) (neg.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal 1/36 binary32)) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (neg.f32 (.f32 u (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)))) (neg.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) u)) (neg.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal 1/36 binary32)) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) u)) (neg.f32 (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32) (.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32))))) (fma.f32 (.f32 #s(literal 1/6 binary32) u) (.f32 #s(literal 1/6 binary32) u) (-.f32 (.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u)))) (.f32 (.f32 #s(literal 1/6 binary32) u) (.f32 u (.f32 #s(literal -1/6 binary32) (*.f32 u u)))))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)
(+.f32 (.f32 normAngle #s(literal 1 binary32)) (.f32 normAngle (neg.f32 u)))
(+.f32 (.f32 #s(literal 1 binary32) normAngle) (.f32 (neg.f32 u) normAngle))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) normAngle) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) normAngle)) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 normAngle #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 normAngle (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (.f32 normAngle #s(literal 1 binary32)) (-.f32 (.f32 (.f32 normAngle (neg.f32 u)) (.f32 normAngle (neg.f32 u))) (.f32 (.f32 normAngle #s(literal 1 binary32)) (.f32 normAngle (neg.f32 u))))))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1 binary32) normAngle) #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 u) normAngle) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (.f32 #s(literal 1 binary32) normAngle) (-.f32 (.f32 (.f32 (neg.f32 u) normAngle) (.f32 (neg.f32 u) normAngle)) (.f32 (.f32 #s(literal 1 binary32) normAngle) (.f32 (neg.f32 u) normAngle)))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)

simplify490.0ms (3.5%)

Memory

-16.4MiB live, 747.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 150×	`lower-fma.f64`
11 150×	`lower-fma.f32`
6 710×	`lower-*.f64`
6 710×	`lower-*.f32`
4 216×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	8340
1	2200	8075
2	7359	8072
0	8027	7431

Stop Event

1×	iter limit
1×	node limit

Counts

540 → 535

Calls

Call 1

Inputs
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* 7/360 (* n1_i (pow normAngle 2)))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(* 7/360 (* n1_i (pow normAngle 2)))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(* 1/3 n0_i)
(+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))
(+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))
(+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (+ (* 7/360 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ n1_i n0_i)))))
(* n0_i (+ 1/3 (+ (* 7/360 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ n1_i n0_i)))))
(* n0_i (+ 1/3 (+ (* 7/360 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ n1_i n0_i)))))
(* 1/3 n0_i)
(* -1 (* n0_i (- (* -1 (/ (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1 (/ (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1 (/ (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) n0_i)) 1/3)))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))
(* 7/360 (* n1_i (* (pow normAngle 4) u)))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(* 7/360 (* n1_i (* (pow normAngle 4) u)))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i))))
(* -1 (* n0_i (- (* u (+ 1 (* -1/3 (pow normAngle 2)))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i)) (* u (+ 1 (* -1/3 (pow normAngle 2))))) 1)))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)
(* 7/360 (* n1_i (pow normAngle 4)))
(* (pow normAngle 4) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(* (pow normAngle 4) (- (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (/ n0_i (pow normAngle 4))))
(* (pow normAngle 4) (- (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (/ n0_i (pow normAngle 4))))
(* 7/360 (* n1_i (pow normAngle 4)))
(* (pow normAngle 4) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(* (pow normAngle 4) (- (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (/ n0_i (pow normAngle 4))))
(* (pow normAngle 4) (- (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (/ n0_i (pow normAngle 4))))
(- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)
(- (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) n0_i)
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i)) (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (/ n0_i n1_i)))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))
(+ n1_i (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))) n0_i))) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))) n0_i))) 1))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))) n0_i))) 1))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
n0_i
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- 1 u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
n0_i
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (* n0_i u))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -1 u)
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(* n1_i u)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (* 1/36 (* n1_i (* (pow normAngle 2) u))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/216 (* n1_i (* (pow normAngle 2) u))) (* -1/36 (* n1_i u)))) (* -1/6 (* n1_i u)))))
(* -6 (/ (* n1_i u) (pow normAngle 2)))
(/ (+ (* -36 (/ (* n1_i u) (pow normAngle 2))) (* -6 (* n1_i u))) (pow normAngle 2))
(/ (- (+ (* -216 (/ (* n1_i u) (pow normAngle 4))) (* -6 (* n1_i u))) (* 36 (/ (* n1_i u) (pow normAngle 2)))) (pow normAngle 2))
(/ (- (+ (* -1296 (/ (* n1_i u) (pow normAngle 6))) (* -6 (* n1_i u))) (+ (* 36 (/ (* n1_i u) (pow normAngle 2))) (* 216 (/ (* n1_i u) (pow normAngle 4))))) (pow normAngle 2))
(* -6 (/ (* n1_i u) (pow normAngle 2)))
(/ (+ (* -36 (/ (* n1_i u) (pow normAngle 2))) (* -6 (* n1_i u))) (pow normAngle 2))
(/ (+ (* -216 (/ (* n1_i u) (pow normAngle 4))) (+ (* -36 (/ (* n1_i u) (pow normAngle 2))) (* -6 (* n1_i u)))) (pow normAngle 2))
(/ (+ (* -1296 (/ (* n1_i u) (pow normAngle 6))) (+ (* -216 (/ (* n1_i u) (pow normAngle 4))) (+ (* -36 (/ (* n1_i u) (pow normAngle 2))) (* -6 (* n1_i u))))) (pow normAngle 2))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* n1_i (* normAngle u))
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* -1/6 (pow normAngle 3))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(* -1/6 (pow normAngle 3))
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))
(/ (sin normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(+ (* -1 (/ (* normAngle (* u (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (/ (sin normAngle) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1/2 (/ (* (pow normAngle 2) (* u (sin normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))))) (/ (sin normAngle) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))) (* u (+ (* -1/2 (/ (* (pow normAngle 2) (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))))))) (/ (sin normAngle) (+ normAngle (* -1/6 (pow normAngle 3)))))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))) (* -1/6 (- 1 u))))) u)
(* -6 (/ (sin (* normAngle (- 1 u))) (pow normAngle 3)))
(/ (+ (* -36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* -6 (sin (* normAngle (- 1 u))))) (pow normAngle 3))
(/ (- (+ (* -216 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (* -6 (sin (* normAngle (- 1 u))))) (* 36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 3))
(/ (- (+ (* -1296 (/ (sin (* normAngle (- 1 u))) (pow normAngle 6))) (* -6 (sin (* normAngle (- 1 u))))) (+ (* 36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))) (* 216 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))))) (pow normAngle 3))
(* -6 (/ (sin (* normAngle (- 1 u))) (pow normAngle 3)))
(* -1 (/ (+ (* 6 (sin (* normAngle (- 1 u)))) (* 36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 3)))
(* -1 (/ (- (+ (* 6 (sin (* normAngle (- 1 u)))) (* 216 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4)))) (* -36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2)))) (pow normAngle 3)))
(* -1 (/ (- (+ (* 6 (sin (* normAngle (- 1 u)))) (* 1296 (/ (sin (* normAngle (- 1 u))) (pow normAngle 6)))) (+ (* -216 (/ (sin (* normAngle (- 1 u))) (pow normAngle 4))) (* -36 (/ (sin (* normAngle (- 1 u))) (pow normAngle 2))))) (pow normAngle 3)))
(/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3)))))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (+ normAngle (* -1/6 (pow normAngle 3))))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (+ normAngle (* -1/6 (pow normAngle 3))))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (+ normAngle (* -1/6 (pow normAngle 3)))))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (+ normAngle (* -1/6 (pow normAngle 3)))))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))) (* -1/6 (* n0_i (- 1 u)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))
(/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (+ normAngle (* -1/6 (pow normAngle 3))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) (+ normAngle (* -1/6 (pow normAngle 3))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (+ normAngle (* -1/6 (pow normAngle 3))))))))) (/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (+ normAngle (* -1/6 (pow normAngle 3))))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u))))))
(* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 3)))
(/ (+ (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* -6 (* n0_i (sin (* normAngle (- 1 u)))))) (pow normAngle 3))
(/ (- (+ (* -216 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (* -6 (* n0_i (sin (* normAngle (- 1 u)))))) (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 3))
(/ (- (+ (* -1296 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 6))) (* -6 (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))) (* 216 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))))) (pow normAngle 3))
(* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 3)))
(* -1 (/ (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 3)))
(* -1 (/ (- (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 216 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4)))) (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 3)))
(* -1 (/ (- (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 1296 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 6)))) (+ (* -216 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 4))) (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2))))) (pow normAngle 3)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(* normAngle (- 1 u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* 1/3 n0_i)
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* 1/3 n0_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/6 n1_i)
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* 1/6 n1_i)
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* 1/6 u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* -1/6 (pow u 3))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 3))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))

Outputs
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(* 7/360 (* n1_i (pow normAngle 2)))
(.f32 #s(literal 7/360 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))
(* 7/360 (* n1_i (pow normAngle 2)))
(.f32 #s(literal 7/360 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/6 (/ n1_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n1_i #s(literal 7/360 binary32)))))
(* 1/3 n0_i)
(*.f32 #s(literal 1/3 binary32) n0_i)
(+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 1/3 n0_i) (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))
(.f32 n1_i (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i n1_i) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))
(.f32 n1_i (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i n1_i) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (* 1/3 (/ n0_i n1_i)))))
(.f32 n1_i (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i n1_i) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32))))
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(neg.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))))
(* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(neg.f32 (.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))))
(* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(neg.f32 (.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))))
(* -1 (* n1_i (- (+ (* -1/3 (/ n0_i n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(neg.f32 (.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))
(.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i))
(* 1/3 n0_i)
(*.f32 #s(literal 1/3 binary32) n0_i)
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(* n0_i (+ 1/3 (+ (* 7/360 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ n1_i n0_i)))))
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(* n0_i (+ 1/3 (+ (* 7/360 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/6 (/ n1_i n0_i)))))
(.f32 n0_i (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i) (fma.f32 (.f32 n1_i #s(literal 7/360 binary32)) (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/3 binary32))))
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n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))
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(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/3 binary32) n0_i)) (-.f32 n1_i n0_i)) n0_i)
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i)) (-.f32 n1_i n0_i)))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i)) n1_i) (-.f32 (/.f32 n0_i u) n0_i)))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i)) n1_i) (-.f32 (/.f32 n0_i u) n0_i)))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i)) n1_i) (-.f32 (/.f32 n0_i u) n0_i)))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 #s(literal 1/3 binary32) n0_i)) (-.f32 n1_i n0_i)))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))
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(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))
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(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)) (* -1 (/ n0_i u)))))
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(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
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(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) u)) (.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal 1/3 binary32) n0_i)) u)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))
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(* 7/360 (* n1_i (* (pow normAngle 4) u)))
(.f32 #s(literal 7/360 binary32) (.f32 u (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
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(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
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(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal 1/3 binary32) n0_i)) (.f32 normAngle normAngle)) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 #s(literal 7/360 binary32) (.f32 n1_i u) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))
(* 7/360 (* n1_i (* (pow normAngle 4) u)))
(.f32 #s(literal 7/360 binary32) (.f32 u (*.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n1_i (.f32 #s(literal 7/360 binary32) u) (/.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal 1/3 binary32) n0_i)) u) (*.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal 1/3 binary32) n0_i)) (.f32 normAngle normAngle)) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 #s(literal 7/360 binary32) (.f32 n1_i u) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow normAngle 4) (+ (* 7/360 (* n1_i u)) (+ (/ n0_i (pow normAngle 4)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 4))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal 1/3 binary32) n0_i)) (.f32 normAngle normAngle)) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 #s(literal 7/360 binary32) (.f32 n1_i u) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))
(+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
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(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))) (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))))
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(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))))
(.f32 u (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
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(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
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(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (+ (/ n0_i n1_i) (/ (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 u n1_i) (/.f32 n0_i n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))))
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(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* 1/3 (* n0_i (pow normAngle 2))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)))))
(.f32 u (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 (*.f32 normAngle normAngle) u) u) n0_i))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 (*.f32 normAngle normAngle) u) u) n0_i))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 (*.f32 normAngle normAngle) u) u) n0_i))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))))) n0_i))))
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(/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))
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(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
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(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
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(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n0_i #s(literal -1/5040 binary32)))) (.f32 #s(literal -1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n0_i #s(literal -6 binary32))) (pow.f32 normAngle #s(literal 5 binary32)))))
(* (pow normAngle 2) (+ (* -36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 7))) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -6 binary32) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (pow.f32 normAngle #s(literal 5 binary32)))) (/.f32 (.f32 (*.f32 #s(literal -36 binary32) n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (pow.f32 normAngle #s(literal 7 binary32))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -6 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n0_i #s(literal -6 binary32))) (pow.f32 normAngle #s(literal 5 binary32)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* 6 (* n0_i (sin (* normAngle (- 1 u))))) (* 36 (/ (* n0_i (sin (* normAngle (- 1 u)))) (pow normAngle 2)))) (pow normAngle 5))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 (fma.f32 (.f32 #s(literal 36 binary32) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n0_i #s(literal 6 binary32)))) (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
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(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
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(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3)))))
(fma.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
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(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
(.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(.f32 (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(.f32 (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (+ normAngle (* -1/6 (pow normAngle 3))))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(.f32 (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) (neg.f32 n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
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(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))
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(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))
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(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3))))))))
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(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
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(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))
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(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))
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(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (+ normAngle (* -1/6 (pow normAngle 3)))))))))
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(/ (* n0_i (sin normAngle)) (+ normAngle (* -1/6 (pow normAngle 3))))
(/.f32 (.f32 n0_i (sin.f32 normAngle)) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
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(/ (* n0_i (sin (* normAngle (- 1 u)))) (+ normAngle (* -1/6 (pow normAngle 3))))
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(neg.f32 (*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal -1/6 binary32) #s(literal -1/3 binary32))))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(neg.f32 (*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal -1/6 binary32) #s(literal -1/3 binary32))))
(* 1/3 n0_i)
(*.f32 #s(literal 1/3 binary32) n0_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 #s(literal 1/3 binary32) n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 #s(literal 1/3 binary32) n0_i))
(* 1/6 n1_i)
(*.f32 #s(literal 1/6 binary32) n1_i)
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i n1_i) #s(literal 1/6 binary32)))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i n1_i) #s(literal 1/6 binary32)))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 1/3 binary32) (/.f32 n0_i n1_i) #s(literal 1/6 binary32)))
(* 1/6 n1_i)
(*.f32 #s(literal 1/6 binary32) n1_i)
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(*.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) #s(literal -1/6 binary32)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(*.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) #s(literal -1/6 binary32)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(*.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) #s(literal -1/6 binary32)))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* 1/6 u)
(*.f32 #s(literal 1/6 binary32) u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (neg.f32 (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (neg.f32 (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (neg.f32 (-.f32 normAngle (/.f32 normAngle u))))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)

eval194.0ms (1.4%)

Memory: 5.1MiB live, 412.7MiB allocated
Compiler: Compiled 58 928 to 3 404 computations (94.2% saved)

prune204.0ms (1.4%)

Memory

-30.2MiB live, 496.0MiB allocated

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1 328	13	1 341
Fresh	7	20	27
Picked	4	1	5
Done	0	1	1
Total	1 339	35	1 374

Accuracy

100.0%

Counts

1 374 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))
	98.4%	(fma.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 (*.f32 normAngle normAngle) u) u)))
	97.7%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
	98.6%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	99.1%	(fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	99.1%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
	99.1%	(fma.f32 u (fma.f32 (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
	98.6%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (-.f32 n1_i n0_i)) n0_i)
	83.0%	(fma.f32 u (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
	60.1%	(fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
	98.5%	(fma.f32 u n1_i (fma.f32 n0_i (neg.f32 u) n0_i))
	98.5%	(fma.f32 u n1_i (fma.f32 n0_i #s(literal 1 binary32) (*.f32 n0_i (neg.f32 u))))
	82.5%	(fma.f32 u n1_i n0_i)
✓	98.2%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	60.1%	(fma.f32 n0_i (neg.f32 u) n0_i)
	31.8%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) normAngle))
	32.2%	(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
	6.5%	(+.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n0_i #s(literal -6 binary32))) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	98.6%	(+.f32 (.f32 (.f32 (.f32 normAngle (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	97.8%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (.f32 u (.f32 u u))) u) n1_i))
	99.0%	(+.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i)
	82.4%	(+.f32 (*.f32 n1_i u) n0_i)
	82.0%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	36.9%	(*.f32 (-.f32 n1_i n0_i) u)
	38.4%	(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (.f32 u u))))
	59.6%	(.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
	98.3%	(.f32 u (fma.f32 (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) normAngle) normAngle (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))))
	38.8%	(.f32 u (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
	38.7%	(.f32 u (.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))))
	38.8%	(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
	38.4%	(*.f32 n1_i u)
	60.0%	(.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))
	59.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	48.4%	n0_i

Compiler

Compiled 1 901 to 678 computations (64.3% saved)

regimes101.0ms (0.7%)

Memory

9.6MiB live, 239.0MiB allocated

Counts

67 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u n1_i (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 u n1_i (fma.f32 n0_i #s(literal 1 binary32) (*.f32 n0_i (neg.f32 u))))
(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
(.f32 u (.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(fma.f32 n0_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(.f32 u (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(+.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i)
(fma.f32 u (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) (*.f32 u n1_i))
(fma.f32 n1_i u (neg.f32 (.f32 (.f32 (.f32 n1_i u) (fma.f32 #s(literal -7/360 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle))))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(.f32 u (fma.f32 (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) normAngle) normAngle (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) normAngle))
(.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (.f32 u u))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(+.f32 (.f32 (.f32 (.f32 normAngle (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)))
(+.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n0_i #s(literal -6 binary32))) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 (*.f32 normAngle normAngle) u) u)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (.f32 u (.f32 u u))) u) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i u))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle)))) n1_i))

Outputs

(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)

Calls

5 calls:

21.0ms	u
20.0ms	normAngle
20.0ms	n1_i
18.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
18.0ms	n0_i

Results

Accuracy	Segments	Branch
99.2%	1	`normAngle`
99.2%	1	`u`
99.2%	1	`n0_i`
99.2%	1	`n1_i`
99.2%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes51.0ms (0.4%)

Memory

35.9MiB live, 151.9MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u n1_i (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 u n1_i (fma.f32 n0_i #s(literal 1 binary32) (*.f32 n0_i (neg.f32 u))))
(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
(.f32 u (.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(fma.f32 n0_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(.f32 u (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(+.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i)
(fma.f32 u (fma.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) (*.f32 u n1_i))
(fma.f32 n1_i u (neg.f32 (.f32 (.f32 (.f32 n1_i u) (fma.f32 #s(literal -7/360 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle))))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(.f32 u (fma.f32 (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) normAngle) normAngle (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))))

Outputs
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)

Calls

5 calls:

10.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
10.0ms	n0_i
10.0ms	normAngle
9.0ms	n1_i
9.0ms	u

Results

Accuracy	Segments	Branch
99.1%	1	`normAngle`
99.1%	1	`u`
99.1%	1	`n0_i`
99.1%	1	`n1_i`
99.1%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes37.0ms (0.3%)

Memory

-20.7MiB live, 100.6MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u n1_i (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 u n1_i (fma.f32 n0_i #s(literal 1 binary32) (*.f32 n0_i (neg.f32 u))))
(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
(.f32 u (.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(fma.f32 n0_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))

Outputs
(fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))

Calls

5 calls:

9.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
7.0ms	normAngle
7.0ms	n0_i
7.0ms	u
6.0ms	n1_i

Results

Accuracy	Segments	Branch
99.1%	1	`normAngle`
99.1%	1	`u`
99.1%	1	`n0_i`
99.1%	1	`n1_i`
99.1%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes109.0ms (0.8%)

Memory

-29.9MiB live, 64.1MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u n1_i (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 u n1_i (fma.f32 n0_i #s(literal 1 binary32) (*.f32 n0_i (neg.f32 u))))
(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
(.f32 u (.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(fma.f32 n0_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (-.f32 n1_i n0_i)) n0_i)

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (-.f32 n1_i n0_i)) n0_i)

Calls

5 calls:

49.0ms	n0_i
40.0ms	normAngle
6.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
6.0ms	u
6.0ms	n1_i

Results

Accuracy	Segments	Branch
98.6%	1	`normAngle`
98.6%	1	`u`
98.6%	1	`n0_i`
98.6%	1	`n1_i`
98.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes33.0ms (0.2%)

Memory

2.2MiB live, 78.4MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u n1_i (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 u n1_i (fma.f32 n0_i #s(literal 1 binary32) (*.f32 n0_i (neg.f32 u))))
(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
(.f32 u (.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))))
(*.f32 u (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)))
(fma.f32 n0_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))

Outputs
(fma.f32 (-.f32 n1_i n0_i) u n0_i)

Calls

5 calls:

7.0ms	n0_i
6.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
6.0ms	u
6.0ms	normAngle
6.0ms	n1_i

Results

Accuracy	Segments	Branch
98.6%	1	`normAngle`
98.6%	1	`n0_i`
98.6%	1	`u`
98.6%	1	`n1_i`
98.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes17.0ms (0.1%)

Memory

1.2MiB live, 40.2MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)

Outputs
(fma.f32 u n1_i n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u n1_i n0_i)

Calls

5 calls:

3.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
3.0ms	n0_i
3.0ms	n1_i
3.0ms	u
3.0ms	normAngle

Results

Accuracy	Segments	Branch
82.5%	1	`normAngle`
82.5%	1	`u`
85.8%	2	`n0_i`
89.3%	3	`n1_i`
82.5%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes3.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 n1_i u) n0_i)

Outputs
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 u n1_i n0_i)

Calls

1 calls:

3.0ms

n1_i

Results

Accuracy	Segments	Branch
89.1%	3	`n1_i`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)

Outputs
(fma.f32 u n1_i n0_i)

Calls

3 calls:

2.0ms

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

2.0ms

n0_i

2.0ms

n1_i

Results

Accuracy	Segments	Branch
82.5%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
82.5%	1	`n0_i`
82.5%	1	`n1_i`

Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes12.0ms (0.1%)

Memory

-17.3MiB live, 23.8MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)

Outputs
n0_i
(*.f32 n1_i u)
n0_i

Calls

5 calls:

4.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
2.0ms	n0_i
2.0ms	u
2.0ms	normAngle
2.0ms	n1_i

Results

Accuracy	Segments	Branch
48.4%	1	`normAngle`
65.2%	3	`n1_i`
56.2%	2	`u`
65.9%	3	`n0_i`
48.4%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes5.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))

Outputs
n0_i

Calls

3 calls:

2.0ms	n0_i
1.0ms	n1_i
1.0ms	u

Results

Accuracy	Segments	Branch
48.4%	1	`u`
48.4%	1	`n1_i`
48.4%	1	`n0_i`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.810096950038016e-28	2.782601494799161e-27
0.0ms	-5.743407818123689e-21	-8.486085486066291e-22

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	9.125607736005564e-32	4.455308377328419e-31
0.0ms	-5.743407818123689e-21	-8.486085486066291e-22

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.601758938469482e-22	1.3846609654773797e-21
0.0ms	-1.6809884234791109e-21	-1.4719814305803591e-21

Compiler

Compiled 32 to 24 computations (25% saved)

simplify8.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary32`
8×	`sub-neg_binary32`
8×	`+-commutative_binary32`
4×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	133
1	63	133
2	69	133
3	72	133
4	73	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n1_i #s(literal -1547425/309485009821345068724781056 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 5192297/5192296858534827628530496329220096 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i n0_i)))
(if (<=.f32 n1_i #s(literal -1547425/309485009821345068724781056 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 8507059/85070591730234615865843651857942052864 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 u n1_i n0_i)))
(fma.f32 u n1_i n0_i)
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) n0_i (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) (*.f32 n1_i u) n0_i))
n0_i

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 7/360 binary32) n1_i) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 n1_i #s(literal 1/6 binary32)) u) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (*.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/3 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n1_i #s(literal -1547425/309485009821345068724781056 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 5192297/5192296858534827628530496329220096 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i n0_i)))
(if (<=.f32 n1_i #s(literal -1547425/309485009821345068724781056 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 8507059/85070591730234615865843651857942052864 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 u n1_i n0_i)))
(fma.f32 u n1_i n0_i)
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) n0_i (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) (*.f32 n1_i u) n0_i))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) n0_i (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness1.2s (8.5%)

Memory

-4.0MiB live, 993.8MiB allocated

Rules

20 380×	`lower-fma.f64`
20 380×	`lower-fma.f32`
13 824×	`lower-fma.f64`
13 824×	`lower-fma.f32`
12 022×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	125
0	57	110
1	213	97
2	1747	97
0	8311	93
0	290	3513
1	961	3371
2	3225	3289
0	8122	3052
0	680	8340
1	2200	8075
2	7359	8072
0	8027	7431
0	823	9882
1	2862	9285
0	8693	8837
0	321	2830
1	987	2714
2	3385	2654
0	8124	2540

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 469 to 272 computations (42% saved)

preprocess183.0ms (1.3%)

Memory: -24.5MiB live, 140.0MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 494 to 218 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze450.0ms (3.2%)

sample3.2s (22.9%)

preprocess149.0ms (1.1%)

explain375.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify70.0ms (0.5%)

localize99.0ms (0.7%)

series99.0ms (0.7%)

rewrite559.0ms (4%)

simplify479.0ms (3.4%)

eval79.0ms (0.6%)

prune159.0ms (1.1%)

simplify482.0ms (3.4%)

localize274.0ms (1.9%)

series185.0ms (1.3%)

rewrite378.0ms (2.7%)

simplify466.0ms (3.3%)

eval290.0ms (2.1%)

prune237.0ms (1.7%)

simplify271.0ms (1.9%)

localize176.0ms (1.2%)

series71.0ms (0.5%)

rewrite373.0ms (2.6%)

simplify683.0ms (4.8%)

eval369.0ms (2.6%)

prune109.0ms (0.8%)

simplify571.0ms (4%)

localize183.0ms (1.3%)

series120.0ms (0.8%)

rewrite496.0ms (3.5%)

simplify490.0ms (3.5%)

eval194.0ms (1.4%)

prune204.0ms (1.4%)

regimes101.0ms (0.7%)

regimes51.0ms (0.4%)

regimes37.0ms (0.3%)

regimes109.0ms (0.8%)

regimes33.0ms (0.2%)

regimes17.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0%)

regimes12.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.2s (8.5%)

preprocess183.0ms (1.3%)

end0.0ms (0%)

Profiling